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Finding the Fourth Proportional to 256,921.60, 385,209.60 and 136,998.40

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Solution

The fourth proportional to 256,921.60, 385,209.60 and 136,998.40 is: 205,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,921.60 : 385,209.60 = 136,998.40 : x
  2. Step 2: Convert to fraction form
    256,921.60/385,209.60 = 136,998.40/x
  3. Step 3: Cross multiply
    256,921.60x = 385,209.60 × 136,998.40
  4. Step 4: Simplify right side
    256,921.60x = 52,773,098,864.64
  5. Step 5: Solve for x
    x = 52,773,098,864.64/256,921.60
  6. Step 6: Final answer
    x = 205,405.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.